Question

find two rational numbers between 3 and 4 by mean method ​

Answer 1

Answer:

4>21/2>16/2>7/2>3..

Step-by-step explanation:

Mean method

a+b/2 = 4+3/2 = 7/2

4+7/2 = 8+7/2 = 15/2

3+15/2 = 6+15/2 = 21/2

Answer 2

Given: Two numbers 3 and 4

To find: Two rational numbers between given numbers

Solution: To insert rational numbers between 3 and 4, we find the mean of 3 and 4

i.e., $\frac{3 \ + \ 4}{2} = \frac{7}{2}$

∵ $3 < \frac{7}{2} < 4$

We now find another rational number between $\frac{7}{2}$ and 4. For this, we find the mean of $\frac{7}{2}$ and 4.

i.e., $\frac{\frac{7}{2} \ + \ 4 }{2} = \frac{\frac{7 \ + \ 8}{2} }{2} = \frac{15}{4}$

∵ $3 < \frac{7}{2} < \frac{15}{4} < 4$

Hence, 2 rational numbers between 3 and 4 are $\frac{7}{2} \ and \ \frac{15}{4}$.